Math Problem to Solve?
A farmer had some ducks and cows in the field. He sent his children out to count the number of animals. Jean counted 50 heads. Charles counted 154 legs. How many of each kind were counted?
let d represent ducks, let c represent cows.
Assume that both ducks and cows have one head
Assume that ducks have two feet while cows have 4 feet
2d +4c= 154
Isolate a variable in one of them:
d= 50 -c
sub this into the second equation:
2(50-c) + 4c= 154
100 -2c +4c=154
-2c +4c = 154 -100
2c = 54
sub c= 27 into the equation above to find the number of ducks.
d= 50 -(27)
d= 50 -27
Therefore there were 23 ducks and 27 cows.
NOTE: solved by substitution; the other guys did solving by elimination.
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